1. Mon: Word Problem Practice Tues: Equivalent Equations Practice
Warm up ->
Mon: Word Problem Practice
Tues: Equivalent Equations Practice
Wed: Workbook pg 137
Thurs: Study for the BIG BIG BIG equations quiz
Fri: (Big Big Equations Qz)

2. 5-2 Writing and solving two step equations
Essential Question:
How do you write and solve verbal sentences, and word problems, as two-step equations?

3. Review

4. In Chapter 1, you learned how to write verbal phrases as
expressions.
Phrase: the sum of 4 times some number and 99
Expression: n
An equation is a statement that two expressions are equal. The
expressions are joined with an equals sign. Look for the words
equals or is equal to when you translate sentences into
equations
Sentence: The sum of 4 times some number and 99 is 299
299
4n + 99 =
Equation:

5. Solving two step equations
3x + 9 = 12
4m – 8 = -128

6. Tying it all together

7. Translate sentences into equations:
Six more than twice a number is -20
Eighteen is 6 less than four times a number
The quotient of a number and 5, increased
by 8, is equal to 14
2n + 6 = -20
18 = 4n - 6
n + 8 = 14 5
Remember: Read carefully what the problem is saying.
Don’t mix up quotient () and product ().

8. Translate and Solve an Equation
Seven more than three times a number is 31. Find the number.
Words: Seven more than three times a number is 31
Variables: Let n = the number
Equation: 3n + 7 = 31
Check:
3(8) + 7 = 31
= 31
31 = 31 
3n + 7 = 31
3n =
3n = 24
n = 8

9. Week Amount 5(0)+60=60 1 5(1)+60=65 2 5(2)+60=70 3 5(3)+60=75
Write and solve a two-step equation
Suppose you are saving money to buy a scooter that costs
$100. You have already saved $60 and plan to save $5 each
week. How many weeks will you need to save?
Explore: You have already saved $60 and you plan to save $5
a week until you have $100.
Plan: Organize the data for the first few weeks in a table.
Notice the pattern.
Write an equation
To represent the
Situation. Let x
Equal the number
of weeks.
Week
Amount
5(0)+60=60 1
5(1)+60=65 2
5(2)+60=70 3
5(3)+60=75
5x + 60 = 100

10. Now solve
Check:
5(8) + 60 = 100
= 100
100 = 100 
5x + 60 = 100
5x =
5x = 40
x = 8
You need to save $5 each week for 8 weeks.

11. In the 2000 Summer Olympics, the United States won 9 more
medals than Russia. Together they won 185 medals. How many
more medals did the United States win?
Words: Together they won 185 medals
Variables: Let x = number of medals Russia won
Then x + 9 = number of medals won by U.S.
Equation: x + (x+9) = 185
Check:
88 + (88+9) = 185
= 185
185 = 185 
Solve:
x + (x + 9) = 185
2x + 9 = 185
2x =
2x = 176
x = 88
Russia won 88 medals
U.S. won 97 medals

12. Check It Out: Example 3
Jack’s father rented a car while they were on vacation. He paid a rental fee of $20.00 per day. He paid $25.00 for mileage and his total bill for renting the car was $ For how many days did he rent the car?
Let d represent the number of days he rented the car.
20d + 25 = 165
– – 25
Subtract 25 from both sides.
20d = 140
20d = 140
Divide both sides by 20. 20 20
d = 7
Jack’s father rented the car for 7 days.

13. Last Sunday, the Humane Society had a 3-hour adoption clinic
Last Sunday, the Humane Society had a 3-hour adoption clinic. During the week the clinic is open for 2 hours on days when volunteers are available.
If the Humane Society was open for a total of 9 hours last week, how many weekdays was the clinic open?
2d + 3 = 9

14. A taxi charges an airport pickup fee of $3 plus $1
A taxi charges an airport pickup fee of $3 plus $1.50 for each mile traveled. If a taxi ride cost John $36, how many miles did John travel in the taxi?
1.5m + 3 = 36

15. Additional Example 3: Consumer Math Application
Jamie rented a canoe while she was on vacation. She paid a flat rental fee of $85.00, plus $7.50 each day. Her total cost was $ For how many days did she rent the canoe?
Let d represent the number of days she rented the canoe.
7.5d + 85 = 130
– –85
Subtract 85 from both sides.
7.5d = 45
7.5d = 45
Divide both sides by 7.5.
7.5
7.5
d = 6
Jamie rented the canoe for 6 days.

16. Last week, Carlie had several rice
cakes and 3 granola bars as snacks.
The snacks contained a total of
800 calories. If each granola bar had
120 calories and each rice cake had
40 calories, how many rice cakes did
she have?

17. Erika is following a 2,200 calorie per-
day diet. She eats the
recommended 9 servings of breads
and cereals, averaging 120 calories
per serving. She also eats 5 servings
of vegetables. If the rest of her daily
intake is 870 calories, what is the
average number of calories in each
serving of vegetables?

18. Brandon follows a 2,800 calorie per-
day diet. He has 11 servings of
breads and cereals, which average
140 calories each. Yesterday, he had
a combined 9 servings of fruits and
vegetables, averaging 60 calories
each. How many 180-calorie servings
of meat and milk did he have to
complete his diet?

19. Kuta Software worksheet: Choose 10
Homework
Kuta Software worksheet: Choose 10